English

Transverse Ricci solitons on a compact foliated manifold

Differential Geometry 2024-03-22 v1

Abstract

We investigate transverse Ricci solitons, the self-similar solutions of the transverse Ricci flow, on a compact foliated manifold. In particular, we show the relations between a taut Riemannian foliation and a transverse Ricci soliton. Moreover, we find some examples of transverse Ricci solitons.

Keywords

Cite

@article{arxiv.2403.14099,
  title  = {Transverse Ricci solitons on a compact foliated manifold},
  author = {Seungsu Hwang and Seoung Dal Jung and Jungwoo Moon},
  journal= {arXiv preprint arXiv:2403.14099},
  year   = {2024}
}

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32 pages